LCM for 175 and 400

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 175 and 400?

Answer: LCM of 175 and 400 is 2,800

(Two thousand, eight hundred)

Finding LCM for 175 and 400 using GCF's of these numbers

The first method to find LCM for numbers 175 and 400 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 175 and 400 is 25, so

LCM = (175 × 400) ÷ 25

LCM = 70000 ÷ 25

LCM = 2800

Finding LCM for 175 and 400 by Listing Multiples

The second method to find LCM for numbers 175 and 400 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 175: 175, 350, 525, 700, 875, 1050, 1225, 1400, 1575, 1750, 1925, 2100, 2275, 2450, 2625, 2800, 2975, 3150

Multiples of 400: 400, 800, 1200, 1600, 2000, 2400, 2800, 3200, 3600

So the LCM for 175 and 400 is 2800

Finding LCM for 175 and 400 by Prime Factorization

Another method to find LCM for numbers 175 and 400 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 175: 5, 5, 7 (exponent form: 52, 71)

All Prime Factors of 400: 2, 2, 2, 2, 5, 5 (exponent form: 24, 52)

52 × 71 × 24 = 2800

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LCM Table

Number 1Number 2LCM
160400800
16140064400
16240032400
16340065200
16440016400
16540013200
16640033200
16740066800
1684008400
16940067600
1704006800
17140068400
17240017200
17340069200
17440034800
1754002800
1764004400
17740070800
17840035600
17940071600
1804003600
18140072400
18240036400
18340073200
1844009200
18540014800
18640037200
18740074800
18840018800
18940075600

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 175 and 400? (The answer is: 2800). Select the first number (e.g. '175') and the second number (e.g. '400'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 175 and 400?

LCM of 175 and 400 is 2,800

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